Modern Physics Letters A · 1993 · 19 citations · 0 references
Natural SciencesMathematicsPhysicsAlgebraMathematical PhysicsTheoretical PhysicsGauge TheoryLattice SymmetryLie AlgebrasLie GroupsQuantum Field TheoryConformal Field TheoryGauge SymmetriesLie Algebra DeformationsLie Algebra TheoryLie SuperalgebrasLoop AlgebrasPoisson BracketsSymmetries
A natural definition of q-deformation of Virasoro and superconformal algebras is proposed. New Lie algebraic symmetries are shown to describe the lattice version of the original theory. On the classical (Poisson brackets) level these two-loop algebras are shown to be isomorphic to the Faddeev-Takhtadjan-Volkov lattice Virasoro algebra.